Question

Find the value of m , if x - 1 2 is a factor of x3 -3x2 -2mx +1​

Answer 1

Answer:

$= > p(x) = {x}^{3} - 3 {x}^{2} - 2mx + 1 = 0$

$= > p(12) = ( {12})^{3} - 3( {12})^{2} - 2m(12) + 1 = 0$

$= > 1728 - 432 - 24m + 1 = 0$

$= > 1297 - 24m = 0$

$= > 24m = 1297$

$= > m = \frac{1297}{24}$